Question

What is the center and radius of the circle with equation (x - 2)2 + (y - 5)2 = 100?

A. center (2, 5); radius = 10
B. center (-5, 2); radius = 10
C. center (-2, 5); radius = 100
D. center (2, -5); radius = 100

Answer 1

(x - 2)² + (y - 5)² = 100

(x - 2)² + (y - 5)² = 10²

By the standard equation:

(x - a)² + (y - b)² = r² Where center = (a , b), r = radius.

Comparing with:

Centre (a , b) = (2 , 5) radius, r = 10

A. center (2, 5); radius = 10

Answer 2

Hello,

Center (2,5)
Radius 10=√100

Answer A